3x^2+17x-6=8-2x

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Solution for 3x^2+17x-6=8-2x equation: 


Simplifying
3x2 + 17x + -6 = 8 + -2x

Reorder the terms:
-6 + 17x + 3x2 = 8 + -2x

Solving
-6 + 17x + 3x2 = 8 + -2x

Solving for variable 'x'.

Reorder the terms:
-6 + -8 + 17x + 2x + 3x2 = 8 + -2x + -8 + 2x

Combine like terms: -6 + -8 = -14
-14 + 17x + 2x + 3x2 = 8 + -2x + -8 + 2x

Combine like terms: 17x + 2x = 19x
-14 + 19x + 3x2 = 8 + -2x + -8 + 2x

Reorder the terms:
-14 + 19x + 3x2 = 8 + -8 + -2x + 2x

Combine like terms: 8 + -8 = 0
-14 + 19x + 3x2 = 0 + -2x + 2x
-14 + 19x + 3x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
-14 + 19x + 3x2 = 0

Factor a trinomial.
(-7 + -1x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-7, 0.6666666667}

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